87658211340 has 672 divisors, whose sum is σ = 333167385600. Its totient is φ = 18931511808.

The previous prime is 87658211309. The next prime is 87658211359. The reversal of 87658211340 is 4311285678.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 251169486 + ... + 251169834.

It is an arithmetic number, because the mean of its divisors is an integer number (495784800).

Almost surely, 2^87658211340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87658211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166583692800).

87658211340 is an abundant number, since it is smaller than the sum of its proper divisors (245509174260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87658211340 is a wasteful number, since it uses less digits than its factorization.

87658211340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 87658211340 in words is "eighty-seven billion, six hundred fifty-eight million, two hundred eleven thousand, three hundred forty".